A simple harmonic model as a caricature for mismatch and relaxation effects for ion hopping dynamics in solid electrolytes

Magnus Kunow; Andreas Heuer

doi:10.1063/1.1584654

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arXiv · cond-mat/0305034

A simple harmonic model as a caricature for mismatch and relaxation effects for ion hopping dynamics in solid electrolytes

Magnus Kunow·Andreas Heuer

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Abstract

We formulate a simple harmonic mean-field model with N+1 particles and analyse the relaxation processes following a jump of one of these particles. Either the particle can jump back (single-particle route) or the other N particles adjust themselves (multi-particle route). The dynamics of this model is solved analytically in the linear response regime. Furthermore we relate these results to a phenomenological approach by Funke and coworkers (concept of mismatch and relaxation: CMR) which has been successfully used to model conductivity spectra in the field of ion dynamics in solid electrolytes. Since the mean-field model contains the relevant ingredients of the CMR-approach, a comparison of the resulting rate equations with the CMR-equations becomes possible. Generalizations beyond the mean-field case are discussed.

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Magnus Kunow, Andreas Heuer. 2003-05-02. A simple harmonic model as a caricature for mismatch and relaxation effects for ion hopping dynamics in solid electrolytes. https://doi.org/10.1063/1.1584654

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